If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. The benefits of money transfers by MoneyGram: high level of data protection and confidentiality of money transfers. What are the main benefits of money transfers by MoneyGram? Cost. Today, it is most advantageous to the customer service of all the similar services. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year. MoneyGram financial results were driven by money transfer business, which delivered more than 40 percent growth in transaction volume.